Properties of predictive formulation of the Nambu-Jona-Lasinio model and ghost problem

Abstract

Recently proposed by Battistel et al. "predictive formulation of the NJL model" is discussed and its connection with the differential regularization is noted. The principal problem of this formulation is a non-physical singularity (Landau pole) in meson propagators. A modification of the formulation, which is free of the Landau pole and conserves main features of the approach, is proposed.

Journal version (8 pages, no figures)

References in corpus (2)

• Extension of the Nambu--Jona-Lasinio model at high densities and temperatures by using an implicit regularization scheme
• A predictive formulation of the Nambu--Jona-Lasinio model